Asymptotic Behavior Of Generalized Functions

The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach of Estrada, Kanwal and Vindas is related to moment asymptotic expansions of generalized functions and the Ces'aro behavior. The main features of this book are the uses of strong methods of functional analysis and applications to the analysis of asymptotic behavior of solutions to partial differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The book can be used by applied mathematicians, physicists, engineers and others who use classical asymptotic methods and wish to consider non-classical objects (generalized functions) and their asymptotics now in a more advanced setting.

Sommario

Asymptotic Behavior of Generalized Functions: S-Asymptotics F'g; Quasi-Asymptotics in F'; Applications of the Asymptotic Behavior of Generalized Functions: Asymptotic Behavior of Solutions to Partial Differential Equations; Asymptotics and Integral Transforms; Summability of Fourier Series and Integrals.

Dettagli sul prodotto

• Autori: Stevan Pilipovic, Steven Pilipovic, Pilipovic Stevan, Bogoljub Stankovic, Stankovic Bogoljub, Stevan Pilipovic Et Al, Jasson Vindas, Vindas Jasson
• Editore: Ingram Publishers Services
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 17.10.2011
• EAN: 9789814366847
• ISBN: 978-981-4366-84-7
• Serie: Series On Analysis, Applications And Computation; Analysis, Applications and Com
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Altro; MATHEMATICS / Functional Analysis, Functional analysis & transforms, Functional analysis and transforms